Show that `f(x)={1+x^2,if0lt=xlt=1` and 2-x if `x >1` is discontinuous at x=1

Show that f(x)={1+x^2, if 0 1 is discontinuous at x=1 .

Show that f(x)={1+x^(2), if 0 1 is discontinuous at x=1

If f(x)={(x^2)/2 , if 0lt=xlt=1 2x^2-3x+3/2 , if 1

Show that (x)/(1+x^(2)) lt tan^(-1) x lt x when x gt 0 .

Show that (x)/(1+x) lt ln (1+x) lt x AA x gt 0 .

Show that the function f(x) = {{:(2x+3",",-3 le x lt -2),(x+1",",-2 le x lt 0),(x+2",",0 le x le 1):} is discontinuous at x = 0 and continuous at every point in interval [-3, 1]

Show that the function f(x) = {{:(2x+3",",-3 le x lt -2),(x+1",",-2 le x lt 0),(x+2",",0 le x le 1):} is discontinuous at x = 0 and continuous at every point in interval [-3, 1]

Show that the function f(x) = {{:(2x+3",",-3 le x lt -2),(x+1",",-2 le x lt 0),(x+2",",0 le x le 1):} is discontinuous at x = 0 and continuous at every point in interval [-3, 1]

The function f(x)={x^2a a,if1lt=x

The function f(x)={x^2a a,if1lt=x